‫Welcome back.
‫So now that we had our third slope that we called.
‫P, that's up K plus one at T plus T.
‫S over to and here we put an asterisk.
‫Now we're going to take the third slope and again we're going to go back to our original point at time
‫equals T or where our present state values are.
‫So this would be a piece of cake, right this point here.
‫So we're going to apply our third slope to this point.
‫And again, we're going to project it into the future.
‫So let's say that this is our third slope here and we're going to project it, but now since it's the
‫third slope, we are not going to project it to here.
‫We're going to project it till T plus two still here.
‫So like this, and here we're going to have a point for our new predicted state, but now this predicted
‫state here was computed using the third slope.
‫And remember, everything that we're doing with this piece that you can do it with all other states
‫as well, it's just I don't want to draw and write the same things for all the 12 states because they
‫would be the same thing in terms of the concept.
‫So this would be your third slope here and then the state value here, we're going to call it like this
‫piece up K plus one.
‫Now in the subindex, I'm going to write T plus T.
‫S.
‫And it makes sense, right, because now we are projecting it till T plus PTS, and in the superscript,
‫I'm going to put three to tell you that this point was computed using slope three and then this WidePoint
‫here, it's of course, your true P.
‫S K plus one.
‫You're trying to approximate this true piece up K plus one using your wrong Akutan method.
‫OK, and now in order to compute this data value mathematically, well, I think you really know how
‫to do it.
‫So it's this state value equals.
‫And now as an exercise, try to write here what it equals two and you're going to see it in the next
‫video.
‫So see you then.